Exercises
- Describe all subsequences and monotonic subsequences of the sequence 1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0…….
Thomson.Bruckner, Bruckner; Section 2.11, Problem 2.11.9
2. Prove that every unbounded sequence has a strictly monotonic subsequence (increasing or decreasing) Thomson, Bruckner, and Bruckner; Section 2.11, Problem 2.11.18
3. Show that every subsequence of a subsequence of a sequence {xn} is itself a subsequence of{xn}
Thomson, Bruckner, and Bruckner; Section 2.11, Problem 2.11.2
4. Describe all sequences that have only infinitely many different subsequences.
Thomson, Bruckner, and Bruckner; Section 2.11, Problem 2.11.5